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Let hundred’s digit = ‘x’ Then unit’s digit = 5x and ten’s digit = 3x ∴ Number = 100x + 30x + 5x = 135x Again, hundred’s digit = x Ten’s digit = 5x and unit’s digit = 3x ∴ Number = 100x + 50x + 3x = 153x According to the question, ⇒ 153x – 135x = 27 ⇒ 18x = 36 ⇒ x = 2 ∴ Original number = 135x = 270 ∴ 1/27th of original number = 270/27 = 10
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